Search a number
-
+
3129672 = 2337131433
BaseRepresentation
bin1011111100000101001000
312220000002210
423330011020
51300122142
6151025120
735413260
oct13740510
95800083
103129672
111848407
12106b1a0
138576a0
145b67a0
1541c49c
hex2fc148

3129672 has 64 divisors (see below), whose sum is σ = 9636480. Its totient is φ = 824832.

The previous prime is 3129641. The next prime is 3129677. The reversal of 3129672 is 2769213.

It is not an unprimeable number, because it can be changed into a prime (3129677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (150570).

Almost surely, 23129672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818240).

3129672 is an abundant number, since it is smaller than the sum of its proper divisors (6506808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3129672 is a wasteful number, since it uses less digits than its factorization.

3129672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 3129672 is about 1769.0879005861. The cubic root of 3129672 is about 146.2737093565.

The spelling of 3129672 in words is "three million, one hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1433 2184 2866 4299 5732 8598 10031 11464 17196 18629 20062 30093 34392 37258 40124 55887 60186 74516 80248 111774 120372 130403 149032 223548 240744 260806 391209 447096 521612 782418 1043224 1564836 3129672